1. The problem is to find the value of the box (⬜) in the equation $2 \frac{2}{5} \times \square = \frac{2}{5}$. 2. First, convert the mixed number $2 \frac{2}{5}$ to an improper fraction. $$2 \frac{2}{5} = \frac{2 \times 5 + 2}{5} = \frac{10 + 2}{5} = \frac{12}{5}$$ 3. The equation becomes: $$\frac{12}{5} \times \square = \frac{2}{5}$$ 4. To find $\square$, divide both sides of the equation by $\frac{12}{5}$: $$\square = \frac{\frac{2}{5}}{\frac{12}{5}}$$ 5. Dividing fractions means multiplying by the reciprocal: $$\square = \frac{2}{5} \times \frac{5}{12}$$ 6. Simplify the multiplication: $$\square = \frac{2 \times 5}{5 \times 12} = \frac{10}{60}$$ 7. Simplify the fraction $\frac{10}{60}$ by dividing numerator and denominator by 10: $$\square = \frac{1}{6}$$ 8. Therefore, the value of the box is $\frac{1}{6}$.